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On a partition function which assumes all integral values

โœ Scribed by Manvendra Tamba


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
351 KB
Volume
41
Category
Article
ISSN
0022-314X

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โœ Maxim R. Burke ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 161 KB

We study the class of Tychonoff spaces that can be mapped continuously into R in such a way that the preimage of every nowhere dense set is nowhere dense. We show that every metric space without isolated points is in this class. We also give examples of spaces which have nowhere constant continuous